Question

The ratio between the present ages of p and q is 3:4 respectively. if Q s present age is 20 years , what will be the ratio of the ages after 5 years.

pls give a proper and step by step answer.​

Answer 1

Given:-

• Ratio of ages of P and Q = 3:4
• Present age of Q = 20yrs

Find:-

• Ratio of their ages after 5yrs

Solution:-

Let, Present Age of P = '3x' yrs

and, Present Age of Q = '4x' yrs

☯ Present Age of Q is 20yrs

➮ 4x = 20

➮ x = 20/4

➮ x = 5yrs

Now, Present Age of P = 3x yrs

➨Present Age of P = 3×5 «x = 5yrs»

➨Present Age of P = 15yrs

Now, After 5 yrs

✻ Age of P = 15 + 5 = 20yrs

✻ Age of Q = 20 + 5 = 25yrs

⠀⠀⠀⠀⠀___________________

Ratio of their ages after 5 yrs

↦ Ratio = (Age of P)/(Age of Q)

↦ Ratio = 20/25

↦ Ratio = 4/5

❆ Ratio = 4:5

Hence, the ratio of the ages of P and Q after 5 yrs is 4:5

Answer 2

$\huge{\boxed{\rm{Question}}}$

The ratio between the present ages of P and Q is 3:4 respectively. If Q's present age is 20 years , what will be the ratio of the ages after 5 yearsThe ratio between the present ages of P ?

$\huge{\boxed{\rm{Answer}}}$

$\large{\boxed{\boxed{\sf{Given \: that}}}}$

• The age ratios of P and Q is 3:4

• The present age of Q is 20 years.

$\large{\boxed{\boxed{\sf{To \: find}}}}$

• The ratio of the ages after 5 years

$\large{\boxed{\boxed{\sf{Solution}}}}$

• The ratio of the ages after 5 years = 4:5

$\large{\boxed{\boxed{\sf{Assumptions}}}}$

• Present age of P is = 3a

• Present age of Q is = 4a

$\large{\boxed{\boxed{\sf{What \: does \: the \: question \: says}}}}$

$\large{\boxed{\boxed{\sf{Let's \: understand \: the \: concept \: 1st}}}}$

• This question says that the ratio between the present ages of P and Q is 3:4 respectively. In short it says that present age of P is 4 and Q is 4 But they r not proper age of them so we have to use some assumptions and they are in a ratio of 3:4. Afterthat it says that if Q's present age is 20 years , what will be the ratio of the ages after 5 years.

$\large{\boxed{\boxed{\sf{How \: to \: solve \: this \: question}}}}$

$\large{\boxed{\boxed{\sf{Let's \: see \: the \: procedure \: now}}}}$

• To solve this question we have to use our taken Assumptions. Afterwards we already know that what is given or what to find. So, according to the question, we know that Q's present age is 20 years. So, putting the values. Afterwards finding present age of P afterthat putting the values. Afterwards, seeing after 5 years putting the values according to question and our previous discussion. But the question says to find the ratio of their present age not their present age so finding the ratio after 5 years we get our final result that is 4:5

$\large{\boxed{\boxed{\sf{Full \: solution}}}}$

↝ Using our taken assumptions :

• Present age of P is = 3a

• Present age of Q is = 4a

↝ Present age of Q is 20 years ( Given )

➝ 4a = 20

➝ a = 20/4

➝ a = 10/2

➝ a = 5 year's

↝ Present age of P = 3a year's

Substituting the value of a as 5 we get the following results...

➝ 3(5)

➝ 3 × 5

➝ 15 year's

↝ So, after 5 years their age are

➝ The age of P is 15 + 5 year's = 20 year's

➝ The age of Q is 20 + 5 year's = 25 year's

↝ Now, finding the ratio of their ages after 5 years we get

We already know how to find the ratio, so using the rule according to the question we have to put the values,

➝ Ratio = Age of P / Q

➝ Ratio = 20 / 25

➝ Ratio = 4 / 5

Hence, 4/5 is the fraction form and 4:5 is in the ratio form.